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Finding the Fourth Proportional to 468.41, 702.59 and 143.78

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Solution

The fourth proportional to 468.41, 702.59 and 143.78 is: 215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.41 : 702.59 = 143.78 : x
  2. Step 2: Convert to fraction form
    468.41/702.59 = 143.78/x
  3. Step 3: Cross multiply
    468.41x = 702.59 × 143.78
  4. Step 4: Simplify right side
    468.41x = 101,019.02
  5. Step 5: Solve for x
    x = 101,019.02/468.41
  6. Step 6: Final answer
    x = 215.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.